Lawrence is no better than Carr and probably worse. And Cicny isn't going to trade Burrow. He's their entire team and marketing department. I also doubt there is going to be a free agent QB out there that is better than Carr. He's not great, but he's a solid mid-level QB that can play above that level at times and is good enough to win with the right team around him.
They just need to keep developing Rattler and Haener in hopes that one turns into a good starter and keep looking for QBs in the draft. Carr is currently the least of our problems, but sure we would like to have a better QB in the future.